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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 1, Pages 65–77
DOI: https://doi.org/10.17377/smzh.2018.59.106 (Mi smj2954) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Finite groups with three given subgroups

A. F. Vasil'eva, T. I. Vasil'evaab, K. L. Parfenkova

a Francisk Skorina Gomel State University, Gomel, Belarus
b Belarusian State University of Transport, Gomel, Belarus
Full-text PDF (319 kB) Citations (3)
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DOI: https://doi.org/10.17377/smzh.2018.59.106
Abstract: Given a hereditary saturated formation $\mathfrak F$ of soluble groups, we study finite groups with three $\mathfrak F$-subgroups of coprime indices. We obtain the new criteria for these groups to lie in the Shemetkov formations, the formations of all supersoluble groups, the formations of all groups with nilpotent commutator subgroup, and other formations.
Keywords: finite group, supersoluble group, $\mathrm w$-supersoluble group, formation, hereditary saturated formation, $\mathfrak F$-subnormal subgroup.
Received: 25.04.2017
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 1, Pages 50–58
DOI: https://doi.org/10.1134/S0037446618010068
Bibliographic databases:
Document Type: Article
UDC: 512.542
MSC: 35R30
Language: Russian
Citation: A. F. Vasil'ev, T. I. Vasil'eva, K. L. Parfenkov, “Finite groups with three given subgroups”, Sibirsk. Mat. Zh., 59:1 (2018), 65–77; Siberian Math. J., 59:1 (2018), 50–58
Citation in format AMSBIB
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\paper Finite groups with three given subgroups
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\pages 65--77
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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